Evaluate the
`1.274 div 0.13`

Answer

To evaluate \( 1.274 \div 0.13 \), we can follow these steps:

### Step 1: Eliminate the Decimal in the Divisor
We start with the division \( 1.274 \div 0.13 \). To make the division easier, we can eliminate the decimal in the divisor (0.13). We do this by multiplying both the divisor and the dividend by 100 (which shifts the decimal point two places to the right).

\[ 1.274 \div 0.13 = \frac{1.274 \times 100}{0.13 \times 100} = \frac{127.4}{13} \]

### Step 2: Set Up the Long Division
Now, we need to perform the division \( 127.4 \div 13 \). We can set this up as a long division problem.

### Step 3: Divide
1. Determine how many times 13 can go into 127. The closest multiple of 13 that is less than 127 is \( 13 \times 9 = 117 \).
2. Subtract \( 117 \) from \( 127 \):
\[ 127 - 117 = 10 \]
3. Bring down the next digit (4), making it \( 104 \).

### Step 4: Continue Dividing
1. Now, determine how many times 13 can go into 104. The closest multiple is \( 13 \times 8 = 104 \).
2. Subtract \( 104 \) from \( 104 \):
\[ 104 - 104 = 0 \]

### Step 5: Place the Decimal Point
Since we had a decimal in our original number, we place the decimal point in our result above the decimal in the dividend. Thus, the result of \( 127.4 \div 13 \) is \( 9.8 \).

### Final Answer
Therefore, the value of \( 1.274 \div 0.13 \) is \( 9.8 \).

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